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McKagan","hasPrototype":false,"highGradeLevel":3,"id":21,"isCommunity":false,"isHydrogen":false,"isNew":0,"isPhetStudio":false,"isPrototype":false,"keywordIds":[52,102,135,136,137,138,139,140,141,142,143,320],"legacyType":"java,cheerpj","licenseUrls":["http://creativecommons.org/licenses/by-nc/4.0/","http://creativecommons.org/licenses/GPL/2.0/"],"localizedSimulations":{"am":{"downloadUrl":"/sims/fourier/fourier_am.jar","hasPrototype":false,"id":10201,"isCheerpj":true,"learningGoals":"","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=am","simPageUrl":"/am/simulations/fourier","title":"አራትዮሽ፡ ሞገድ መስራት"},"bg":{"downloadUrl":"/sims/fourier/fourier_bg.jar","hasPrototype":false,"id":5225,"isCheerpj":true,"learningGoals":"","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=bg","simPageUrl":"/bg/simulations/fourier","title":"Фурие: Получаване на вълни"},"bs":{"downloadUrl":"/sims/fourier/fourier_bs.jar","hasPrototype":false,"id":5453,"isCheerpj":true,"learningGoals":"","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=bs","simPageUrl":"/bs/simulations/fourier","title":"FURIJE-OVA SINTEZA - PRAVLJENJE TALASA"},"da":{"description":"Lær at lave bølger af alle forskellige former, ved at tilføje sinus eller cosinus. Lav bølger i rum og tid og mål deres bølgelængder og perioder. Se hvordan ændrede amplituder af forskellig harmonier ændrer bølgerne. Sammenlign forskellige matematiske udtryk for dine bølger.","downloadUrl":"/sims/fourier/fourier_da.jar","hasPrototype":false,"id":2554,"isCheerpj":true,"learningGoals":"Forklare kvalitativt, hvordan sinus og cosinus bidrager til at skabe vilkårlige periodiske funktioner.<br/>Anerkende at hver Fourier komponent svarer til en sinusformet bølge med en anden bølgelængde eller periode.<br/>Forestille sig forskellen mellem Fourier rum og virkelige rum.<br/>Beskrive lyde i form af sinusformede bølger.<br/>Beskrive forskellen mellem bølgerne i rummet og bølger i tid.<br/>Erkende at bølgelængde og periode ikke svarer til bestemte punkter på grafen, men angiver længden/tiden mellem to på hinanden følgende dale, toppe, eller enhvert andet tilsvarende punkt.<br/>Blive fortrolig med forskellige matematiske notationer til at beskrive Fourier transformeringer, og relatere matematik til en intuitivt billede af bølgeformer.<br/>Bestemme hvilket aspekt af en graf over en bølge, der er beskrevet med de enkelte symboler Lambda, T, k, omega, og n.<br/>Erkendelse af at lambda & T og k & omega er analoge, men ikke det samme.<br/>Oversætte en ligning fra opsummeret notation til udvidet notation.<br/>Anerkende at bredden af en bølgepakke i rummet er omvendt relateret til bredden af en bølgepakke i Fourier rummet.<br/>Forklare hvordan Heisenbergs usikkerhedsprincip får betydning for egenskaberne af bølger.<br/>Erkende at afstanden mellem Fourier komponenterne er omvendt relateret til afstanden mellem bølgepakkerne, og at en kontinuerlig distribution af Fourier komponenter fører til en enkelt bølgepakke.","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=da","simPageUrl":"/da/simulations/fourier","title":"Fourir: Bølgefremstilling"},"de":{"description":"Erzeugen Sie die verschiedensten periodische Funktionen durch Addition von Sinus- oder Cosinusfunktionen. Erzeugen Sie Wellen (räumliche und zeitliche Schwingungen) und messen Sie Wellenlängen und Perioden. Beobachten Sie, wie die Amplituden der verschiedenen Oberschwingungen die Funktion beeinflusst. Vergleichen Sie verschiedene mathematische Ausdrücke für Ihre Wellen.","downloadUrl":"/sims/fourier/fourier_de.jar","hasPrototype":false,"id":5526,"isCheerpj":true,"learningGoals":"Erklären Sie qualitativ, wie sich Sinus- und Cosinusfunktionen zu beliebigen periodischen Funktionen addieren lassen.<br/>Erkennen Sie, dass sich jede FOURIER-Komponente auf eine Sinusfunktion mit anderer Wellenlänge oder Periode bezieht.<br/>Übertragen Sie einfache Funktionen von FOURIER-Raum in den Ortsraum.<br/>Stellen Sie Klänge als sinusförmige Wellen dar.<br/>Beschreiben Sie den Unterschied zwischen räumlichen und zeitlichen Schwingungen.<br/>Erkennen Sie, dass Wellenlänge und Periode sich nicht auf bestimmte Punkte der Funktion beziehen, sondern das Längen- bzw. Zeitintervall zwischen zwei aufeinanderfolgenden Wellenbergen oder Wellentälern (oder anderer entsprechender Punkte) widerspiegeln.<br/>Werden Sie vertraut mit verschiedenen mathematischen Darstellungen für die FOURIER-Transformation und verknüpfen Sie die Mathematik mit dem intuitiven Bild der Wellenformen.<br/>Bestimmen Sie, welche Aspekte des Graphen einer Welle mit den Größen Lambda, T, k, omega und n beschrieben werden.<br/>Erkennen Sie, dass die Größen Lambda und T sowie k und Omega zwar verwandt, aber nicht identisch sind.<br/>Formen Sie eine Gleichung mit Summennotation zu einer Gleichung mit erweiterter Notation um.<br/>Erkennen Sie, wie sich die Breite eines Wellenpaket im Ortsraum zur Breite seiner Darstellung im FOURIER-Raum verhält.<br/>Erklären Sie, wie die HEISENBERGsche Unschärferelation aus Welleneigenschaften abgleitet werden kann.<br/>Erkennen Sie, wie der Abstand zwischen den FOURIER-Komponenten mit dem Abstand zwischen Wellenpaketen zusammenhängt und dass eine kontinuierliche Verteilung der FOURIER-Komponenten zu einem einzigen Wellenpaket führt.","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=de","simPageUrl":"/de/simulations/fourier","title":"Wellen zusammensetzen nach FOURIER"},"el":{"description":"Μάθετε πως να δημιουργείτε κύματα όλων των σχημάτων προσθέτοντας ημίτονα και συνημίτονα. Φτιάξτε κύματα στο χώρο και στο χρόνο και μετρήστε το μήκος κύματος τους και την περίοδό τους. Δείτε πως μεταβάλλοντας το πλάτος διαφορετικών αρμονικών μεταβάλλεται το κύμα. Συγκρίνετε διαφορετικές μαθηματικές εκφράσεις για το κύμα σας.","downloadUrl":"/sims/fourier/fourier_el.jar","hasPrototype":false,"id":368,"isCheerpj":true,"learningGoals":"Εξηγήστε ποιοτικά πως τα ημίτονα και συνημίτονα προστίθενται για να δημιουργήσουν τυχαίες περιοδικές συναρτήσεις.<br/>Αναγνωρίστε πως κάθε όρος Fourier επιδρά σε ένα ημιτονοειδές κύμα με διαφορετικό μήκος κύματος και περίοδο.<br/>Mentally map simple functions between Fourier space and real space.<br/>Περιγράψτε τους ήχους με όρους ημιτονικών κυμάτων.<br/>Περιγράψτε τη διαφορά ανάμεσα στα κύματα στο χώρο και σε εκείνα στο χρόνο.<br/>Αναγνωρίστε ότι το μήκος κύματος και η περίοδος δεν αντιστοιχεί σε συγκεκριμένα σημεία στο γράφημα αλλά αντιστοιχούν στην απόσταση/χρονική διάρκεια ανάμεσα σε δύο διαδοχικές κυλάδες, όρη ή οποιαδήποτε άλλα αντίστοιχα σημεία.<br/>Εξοικοιωθείτε με διάφορους μαθηματικούς συμβολισμούς για να γράφετε τους μετασχηματισμούς Fourier και συσχετίστε τα μαθηματικά με μια ποιοτική εικόνα των κυματομορφών.<br/>Προσδιορίστε ποιο τμήμα της γραφικής παράστασης περιγράφεται με κάθε άν από τα σύμβολα λ, T, k, ω και n.<br/>Αντιληφθείτε ότι τα λ lambda & T and k & ωμέγα είναι ανάλογα αλλά όχι τα ίδια.<br/>Μεταφράστε μια εξίσωση γραμμένη σαν άθροισμα σε εκτεταμένη μορφή. Αναγνωρίστε ότι το πλάτος του κυματοπακέτου στο χώρο των θέσεων είναι αντίστροφο με το πλάτος του κυματοπακέτου στο χώρο Fourier. Εξηγήστε πως η αρχή Απροσδιοριστίας του Χάϊζεμπεργκ προκύπτει από τις ιδιότητες των κυμάτων.<br/>Αναγνωρίστε πως η απόσταση ανάμεσα στις συνιστώσες Fourier είναι αντίστροφη με την απόσταση ανάμεσα στα κυματοπακέτα και ότι μια συνεχής κατανομή συντελεστών Fourier οδηγεί σε ένα μοναδικό κυματοπακέτο.","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=el","simPageUrl":"/el/simulations/fourier","title":"Fourier: Δημιουργία Κυμάτων"},"en":{"description":"Learn how to make waves of all different shapes by adding up sines or cosines. Make waves in space and time and measure their wavelengths and periods. See how changing the amplitudes of different harmonics changes the waves. Compare different mathematical expressions for your waves.","downloadUrl":"/sims/fourier/fourier_en.jar","hasPrototype":false,"id":373,"isCheerpj":true,"learningGoals":"Explain qualitatively how sines and cosines add up to produce arbitrary periodic functions.<br/>Recognize that each Fourier component corresponds to a sinusoidal wave with a different wavelength or period.<br/>Mentally map simple functions between Fourier space and real space.<br/>Describe sounds in terms of sinusoidal waves.<br/>Describe the difference between waves in space and waves in time.<br/>Recognize that wavelength and period do not correspond to specific points on the graph but indicate the length/time between two consecutive troughs, peaks, or any other corresponding points.<br/>Become comfortable with various mathematical notations for writing Fourier transforms, and relate the mathematics to an intuitive picture of wave forms.<br/>Determine which aspect of a graph of a wave is described by each of the symbols lambda, T, k, omega, and n.<br/>Recognize that lambda & T and k & omega are analogous, but not the same.<br/>Translate an equation from summation notation to extended notation.<br/>Recognize that the width of a wave packet in position space is inversely related to the width of a wave packet in Fourier space.<br/>Explain how the Heisenberg Uncertainty principle results from the properties of waves.<br/>Recognize that the spacing between Fourier components is inversely related to the spacing between wave packets, and that a continuous distribution of fourier components leads to a single wave packet.","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier","simPageUrl":"/en/simulations/fourier","teachersGuide":"/teachers-guide/fourier-guide.pdf","title":"Fourier: Making Waves"},"es":{"description":"Aprende cómo hacer ondas de todas las formas añadiendo senos o cosenos. Crea ondas en el espacio y el tiempo y mide sus longitudes de onda y periodos Ve cómo el cambiar las amplitudes de diferentes armónicos cambia las ondas. Compara las diferentes expresiones matemáticas de las ondas.","downloadUrl":"/sims/fourier/fourier_es.jar","hasPrototype":false,"id":366,"isCheerpj":true,"learningGoals":"Explica cualitativamente cómo senos y cosenos se suman para producir funciones periódicas arbitrarias.<br/>Reconoce que cada componente de Fourier corresponde a una onda sinusoidal con una longitud de onda diferente, o período.<br/>Mapea mentalmente funciones simples entre el espacio de Fourier y el espacio real.<br/>Describe los sonidos en términos de ondas sinusoidales.<br/>Describe las diferencias entre las ondas en el espacio y las ondas en el tiempo.<br/>Reconoce que la longitud de onda y período no se corresponden con los puntos específicos en el gráfico, pero indican la longitud / tiempo entre dos valles consecutivos, los picos, o algunos otros puntos correspondientes.<br/>Siéntete cómodo con varias notaciones matemáticas para escribir las transformadas de Fourier, y relaciona las matemáticas con una imagen intuitiva de las formas de onda.<br/>Determina cuál aspecto de un gráfico de una onda es descrita por cada uno de los símbolos lambda, t, k, omega, y n.<br/>Reconoce que lambda T, k y omega son análogas, pero no lo mismo.<br/>Traduce una ecuación de la notación de sumatoria a la notación extendida.<br/>Reconoce que el ancho de un paquete de ondas en la posición del espacio es inversamente proporcional al ancho de un paquete de ondas en el espacio de Fourier.<br/>Explica cómo el Principio de Incertidumbre de Heisenberg resulta de las propiedades de las ondas.<br/>Reconoce que el espacio entre los componentes de Fourier es inversamente proporcional a la separación entre paquetes de onda, y que una distribución continua de los componentes de Fourier conduce a un paquete de ondas individuales.","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=es","simPageUrl":"/es/simulations/fourier","teachersGuide":"/teachers-guide/fourier-guide_es.pdf","title":"Fourier: Fabricacion de Ondas"},"es_MX":{"downloadUrl":"/sims/fourier/fourier_es_MX.jar","hasPrototype":false,"id":8134,"isCheerpj":true,"learningGoals":"","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=es_MX","simPageUrl":"/es_MX/simulations/fourier","teachersGuide":"/teachers-guide/fourier-guide_es_MX.pdf","title":"Fourier: Fabricacion de Ondas"},"es_PE":{"description":"Aprenda cómo hacer ondas de todas las formas añadiendo senos o cosenos. Haga ondas en el espacio y el tiempo y mida sus longitudes de onda y periodos Vea cómo cambiando las amplitudes de diferentes armónicos cambian las ondas. Compara las diferentes expresiones matemáticas de las ondas.","downloadUrl":"/sims/fourier/fourier_es_PE.jar","hasPrototype":false,"id":4681,"isCheerpj":true,"learningGoals":"Explicar cualitativamente cómo senos y cosenos se suman para producir funciones periódicas arbitrarias.<br/>Reconocer que cada componente de Fourier corresponde a una onda sinusoidal con una longitud de onda diferente, o período.<br/>Mapea mentalmente funciones simples entre el espacio de Fourier y el espacio real.<br/>Describir los sonidos en términos de ondas sinusoidales.<br/>Describir las diferencias entre las ondas en el espacio y las ondas en el tiempo.<br/>Reconocer que la longitud de onda y período no se corresponden con los puntos específicos en el gráfico, pero indican la longitud / tiempo entre dos valles consecutivos, los picos, o algunos otros puntos correspondientes.<br/>Se sienten cómodos con varias notaciones matemáticas para escribir las transformadas de Fourier, y relacionar las matemáticas con una imagen intuitiva de las formas de onda.<br/>Determinar cuál aspecto de un gráfico de una onda es descrita por cada uno de los símbolos lambda, t, k, omega, y n.<br/>Reconocer que lambda & T y k & Omega son análogas, pero no lo mismo.<br/>Traducir una ecuación a partir de la notación de sumatoria a la notación extendida.<br/>Reconocer que el ancho de un paquete de ondas en la posición del espacio es inversamente proporcional a la anchura de un paquete de ondas en el espacio de Fourier.<br/>Explicar cómo el Principio de Incertidumbre de Heisenberg resulta de las propiedades de las ondas.<br/>Reconocer que el espacio entre los componentes de Fourier es inversamente proporcional a la separación entre paquetes de onda, y que una distribución continua de los componentes de Fourier conduce a un paquete de ondas individuales.","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=es_PE","simPageUrl":"/es_PE/simulations/fourier","title":"Fourier: Haciendo Ondas"},"et":{"description":"Õpi, kuidas valmistada erinevate kujudega lained, liites selleks kokku siinuseid ja koosinuseid. Tee laineid nii ajas kui ruumis ning mõõda nende lainepikkusi ja perioode. Näe, kuidas erinevate harmoonikute amplituudide muutmine laineid muudab. Võrdle oma lainete erinevaid matemaatilisi kujusid.","downloadUrl":"/sims/fourier/fourier_et.jar","hasPrototype":false,"id":1396,"isCheerpj":true,"learningGoals":"Kirjeldab kvalitatiivselt, kuidas siinuste ja koosinuste liitmine annab suvalisi perioodilisi funktsioone.<br/>Tunneb ära, et iga Fourier'i komponent vastab erineva lainepikkuse või perioodiga siinuselisele lainele.<br/>Suudab vaimusilmas kaardistada lihtsaid funktsioone Fourier' ruumis ja reaalses ruumis.<br/>Kirjeldab helisid sinusoidaalsete lainete abil.<br/>Kirjeldab ruumis ja ajas olevate lainete erinevusi.<br/>Mõistab, et lainepikkus ja periood ei vasta mitte graafiku kindlatele punktidele, vaid viitab pigem järjestikuste nõgude, tippude või teiste punktide vahelisele ajale.<br/>Tunneb end mugavalt Fourier' transformatsiooni erinevate matemaatiliste kujude kirjutamisel ning seostab neid intuitiivselt lainekujudega.<br/>Teeb kindlaks, millist laine graafiku osa kirjeldavad sümbolid lambda, T, k, oomega ja n.<br/>Mõistab, et lambda, T, k ja oomega on analoogsed, kuid mitte samad.<br/>Tõlgendab võrrandi summeerimise kuju laiendatud kujule.<br/>Mõistab, et lainepaketi asukoht ruumis on seotud lainepaketi laiusega Fourier' ruumis.<br/>Kirjeldab, kuidas Heisenbergi määramatuse printsiip tuleneb lainete omadustest.<br/>Mõistab, et Fourier' komponentide vaheline kaugus sõltub kahe lainepaketi vahekaugusest ning et Fourier' komponentide pidev jaotus viib üksiku lainepaketini.","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=et","simPageUrl":"/et/simulations/fourier","title":"Fourier: Lainete tekitamine"},"eu":{"downloadUrl":"/sims/fourier/fourier_eu.jar","hasPrototype":false,"id":2646,"isCheerpj":true,"learningGoals":"","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=eu","simPageUrl":"/eu/simulations/fourier","title":"Fourier: Uhinak sortzen"},"fa":{"downloadUrl":"/sims/fourier/fourier_fa.jar","hasPrototype":false,"id":2153,"isCheerpj":true,"learningGoals":"","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=fa","simPageUrl":"/fa/simulations/fourier","title":"تولید موج ها"},"fr":{"description":"Apprenez à faire des ondes de toutes les formes différentes en ajoutant des sinus ou des cosinus. Faire des ondes dans l'espace et le temps et mesurer leurs longueurs d'onde et leurs périodes. Voyez comment changer les amplitudes des différentes harmoniques changent les ondes. Comparer les différentes expressions mathématiques de vos ondes.","downloadUrl":"/sims/fourier/fourier_fr.jar","hasPrototype":false,"id":3115,"isCheerpj":true,"learningGoals":"Expliquer qualitativement comment ajouter des sinus et cosinus pour produire des fonctions périodiques arbitraires.<br/>Reconnaître que chaque composante de Fourier correspond à une onde sinusoïdale avec une longueur d'onde ou une période différente.<br/>Visualisez mentalement des fonctions simples entre l'espace de Fourier et l'espace réel.<br/>Décrivez les sons en termes d'ondes sinusoïdales.<br/>Décrire la différence entre les ondes dans l'espace et les ondes dans le temps.<br/>Reconnaître que les longueurs d'onde et la durée ne correspondent pas à des points spécifiques sur le graphique, mais indiquent la longueur/temps entre deux creux consécutifs, des pics, ou tout autres points correspondants.<br/>Devenir à l'aise avec diverses notations mathématiques pour écrire les transformées de Fourier, et relier les mathématiques à une image intuitive des formes d'ondes.<br/>Déterminer quel aspect d'un graphe d'une onde est décrit par chacun des symboles lambda, t, k, oméga, et n.<br/>Reconnaître que les lambda & T et K & Omega sont analogues, mais pas identiques.<br/>Traduire une équation de la notation somme à la notation développée.<br/>Reconnaître que la largeur d'un paquet d'ondes dans l'espace des positions est inversement proportionnelle à la largeur d'un paquet d'ondes dans l'espace de Fourier.<br/>Expliquer comment le principe d'incertitude d'Heisenberg résulte des propriétés des ondes.<br/>Reconnaître que l'espacement entre les composantes de Fourier est inversement proportionnel à l'espacement entre les paquets d'ondes, et que la distribution continue des composantes de Fourier conduit à un paquet d'onde unique.","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=fr","simPageUrl":"/fr/simulations/fourier","title":"Fourier: Création d'ondes"},"hr":{"downloadUrl":"/sims/fourier/fourier_hr.jar","hasPrototype":false,"id":370,"isCheerpj":true,"learningGoals":"","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=hr","simPageUrl":"/hr/simulations/fourier","title":"Kompozicija valova (Fourierova sinteza)"},"hu":{"description":"Tanuld meg, hogy lehet különböző alakú hullámokat eőállítani szinuszok és koszinuszok összeadásával. Készíts hullámokat térben és időben, majd mérd meg a hullámhosszukat, ill. a periódusidejüket. Figyeld meg, hogyan változik egy hullám, ha megváltoztatod az összegzett harmonikusok amplitúdóit. Vesd össze a hullámod különböző matematikai leírásmódjait.","downloadUrl":"/sims/fourier/fourier_hu.jar","hasPrototype":false,"id":2403,"isCheerpj":true,"learningGoals":"Magyarázza el kvalitatíve, hogyan lehet szinuszok és koszinuszok összeadogatásával tetszőleges periodikus függvényt előállítani.<br/>Tudatosulnia kell annak a ténynek, hogy a Fourier-komponensek különböző hullámhosszúságú, ill. periódusú szinuszoidális hullámnak felelnek meg.<br/>Ki kell alakítani egy mentális leképezést egyszerű függvényekre a Fourier-tér és a valós tér között.<br/>Írja le a különböző hangokat mint szinuszoidális hullámok keverékét.<br/>Mutasson rá a különbségekre a térbeli és az időbeli hullámok között.<br/>Meg kell értetni, hogy a hullámhossz és a periódusidő nem egy grafikon meghatározott pontját jelenti, hanem a térbeli, ill. időbeli távolságot két egymást követő hullámhegy, hullámvölgy vagy bármely más összetartozó pont között.<br/>Meg kell barátkozni a különböző matematikai kifejezési módokkal, amelyekkel a Fourier-transzformációt megadják, és hozzá kell kapcsolni a matematikát a hullámformák intuitív képéhez.<br/>Magyarázza el, hogy a grafikon mely aspektusát jellemzik a következő mennyiségek: lambda, T, k, ómega és n.<br/>Fel kell fogni, hogy a lambda & T, ill. a k & ómega analóg mennyiségek, de nem azonosak.<br/>\"Fordítsa le\" a szummákat tartalmazó kifejezéseket egyszerű összegként kifejtve (a minta a Sorfejtés kijelölésekor látszik a szimulációban).<br/>Észre kell venni, hogy egy térbeli hullámcsomag szélessége fordítva arányos a Fourier-térbeli csomag szélességével.<br/>Magyarázza el, mi köze van a Heisenberg-féle határozatlansági elvnek a hullámokhoz.<br/>Fel kell fogni, hogy a Fourier-komponensek távolsága fordítva arányos a hullámcsomagok közötti távolsággal, és ezért a Fourier-komponensek folytonos eloszlása (0 távolság) egyetlen hullámcsomagot ad (ti. a \"következő\" csomag már a végtelenben van).","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=hu","simPageUrl":"/hu/simulations/fourier","title":"Fourier: hullám-LEGO"},"in":{"downloadUrl":"/sims/fourier/fourier_in.jar","hasPrototype":false,"id":2991,"isCheerpj":true,"learningGoals":"","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=in","simPageUrl":"/in/simulations/fourier","title":"Fourier : Mengkontruksi Gelombang"},"it":{"description":"Impara come onde di tutte le forme siano la somma di funzioni seno e coseno.Crea onde nello spazio e nel tempo e misura le loro lunghezze d'onda ed il loro periodo. Osserva come cambiando l'ampiezza di differenti armoniche cambi l'onda. Confronta diverse espressioni matematiche per le tue onde.","downloadUrl":"/sims/fourier/fourier_it.jar","hasPrototype":false,"id":367,"isCheerpj":true,"learningGoals":"Spiegare qualitativamente come le funzioni seno e coseno addizionate producano funzioni periodiche arbitrarie.<br/>Riconoscere che ciascuna componente di Fourier corrisponde ad un'onda sinusoidale con diversa lunghezza d'onda o periodo.<br/>Mappa con la mente semplici funzioni tra lo spazio di Fourier e lo spazio reale.<br/>Descrivere i suoni in termini di onde sinusoidali.<br/>Descrivere la differenza tra onde nello spazio e nel tempo.<br/>Riconoscere che lunghezza d'onda e periodo non corrispondono a specifici punti sul grafico, ma indicano la lunghezza o il tempo intercorrente tra due ventri o creste consecutivi, o altri punti corrispondenti.<br/>Acquisire familiarità con le varie notazioni matematiche nella scrittura delle trasformate di Fourier, e correlare la matematica ad un quadro intuitivo delle forme d'onda.<br/>Determinare quali aspetti di un grafico di un'onda è descritta da ciascun dei simboli lambda, T, k, omega, ed n.<br/>Riconoscere che lambda e T da un lato, e k e omega dall'altro sono simili ma non equivalenti.<br/>Trasformare una equazione da notazione sommativa a notazione estesa.<br/>Riconoscere che la larghezza di un pacchetto d'onde nello spazio è inversamente correlata a alla larghezza di un pacchetto d'onde nello spazio di Fourier.<br/>Spiegare come il principio di indeterminazione di Heisenberg sia il risultato delle proprietà delle onde.","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=it","simPageUrl":"/it/simulations/fourier","title":"Fourier: Costruire le onde"},"iw":{"downloadUrl":"/sims/fourier/fourier_iw.jar","hasPrototype":false,"id":1397,"isCheerpj":true,"learningGoals":"","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=iw","simPageUrl":"/iw/simulations/fourier","title":"פוריה: עושים גלים"},"ja":{"description":"サインまたはコサインを足すことによって、どのようにあらゆる形状の波を作成できるか学びましょう。空間と時間の関数として波を作成して、それらの波長と周期を測定しましょう。異なる調波の振幅を変えると、どのように波が変化するのか観察しましょう。作成した波の異なる数式を比較しましょう。","downloadUrl":"/sims/fourier/fourier_ja.jar","hasPrototype":false,"id":5078,"isCheerpj":true,"learningGoals":"サインとコサインの和によって、どのように任意の周期関数が作られるのか質的に説明します。<br/><br/>各フーリエ成分が、異なる波長または周期の正弦波に対応することを確認します。<br/><br/>頭の中で単関数をフーリエ空間と実空間に分けて整理します。<br/><br/>正弦波の観点で音を説明します。<br/><br/>空間の関数としての波と時間の関数としての波の違いを説明します。<br/><br/>波長と周期がグラフ上の特定の点に対応するのではなく、2つの連続した谷、山、またはその他のあらゆる対応点の間の長さ/時間を示すものであることを確認します。<br/><br/>フーリエ変換を記述するためのいろいろな数学的記法に親しみ、数学を波形の直感的画像に関連付けます。<br/><br/>波のグラフのどの側面がラムダ、T、k、オメガ、およびnのそれぞれの記号によって表されるのか確認します。<br/><br/>ラムダとT、そしてkとオメガが類似しているけれども異なるものであることを確認します。<br/><br/>方程式を総和記法から拡張記法に書き換えます。<br/><br/>位置空間における波束の幅とフーリエ空間における波束の幅は逆関係にあることを確認します。<br/><br/>ハイゼンベルグの不確定性原理が、どのように波の特性の結果として得られるのか説明します。<br/><br/>フーリエ成分間の間隔と波束間の間隔は逆関係にあることと、フーリエ成分の連続的な分布が単一波束につながることを確認します。","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=ja","simPageUrl":"/ja/simulations/fourier","title":"フーリエ級数展開:波の合成"},"km":{"downloadUrl":"/sims/fourier/fourier_km.jar","hasPrototype":false,"id":1315,"isCheerpj":true,"learningGoals":"","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=km","simPageUrl":"/km/simulations/fourier","title":"Fourier: ការបង្កើតរលក"},"ko":{"description":"사인파와 코사인파를 더하여 어떻게 모든 파동을 만드는지 학습한다. 시공간에서 파동을 만들고 그 파장과 주기를 측정한다. 여러 조화파의 진폭 변화가 어떻게 파동을 변화시키는지를 본다. 파동을 표현하는 여러 표현법을 비교한다.","downloadUrl":"/sims/fourier/fourier_ko.jar","hasPrototype":false,"id":1850,"isCheerpj":true,"learningGoals":"어떻게 사인파와 코사인파가 더해져 임의의 주기 함수를 형성하는지를 정성적으로 설명한다. <br/><br/>각 푸리에 요소가 다른 파장과 주기를 갖는 사인파와 대응함을 인식한다. <br/><br/>마음속으로 푸리에 공간과 실제 공간에서 단순한 함수를 그려본다. <br/><br/>소리를 사인파 모양의 파동으로 설명한다. <br/>공간의 파동과 시간의 파동 사이의 차이점을 기술한다.<br/> <br/>파장과 주기는 그래프상의 특정점과 대응되지 않으나 두개의 연속 골, 봉우리 또는 어떤 다른 대응점 사이의 길이/시간을 가리킴을 인식한다. <br/><br/>푸리에 변환을 기술하는 다양한 수학적 표현에 친숙해지고, 이 수학을 파동 형태의 직관적인 모양에 연관시킨다.<br/> <br/>파동 그래프의 어떤 양상이 람다, T,k, 오메가, 그리고 n과 같은 기호로 기술되는지를 결정한다.<br/> <br/>람다; T 및 k; 오메가는 서로 유사하지만 똑같지 않다는 것을 인식한다.<br/> <br/>가법 표시법의 방정식을 상세 표시법으로 변환한다. <br/><br/>위치공간에서의 파동 묶음의 폭은 푸리에 공간에서의 파동 묶음의 폭과 역으로 연관되어 있음을 인식한다.<br/> <br/>어떻게 하이젠베르크 불확정성 원리가 파동의 성질에서 비롯되는지 설명한다. <br/><br/>푸리에 요소 사이의 간격은 파동 묶음 사이의 간격과 역으로 관계되며, 푸리에 요소의 연속적인 분포가 단일 파동 묶음으로 연계됨을 인식한다.","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=ko","simPageUrl":"/ko/simulations/fourier","title":"푸리에: 파동 생성"},"lo":{"downloadUrl":"/sims/fourier/fourier_lo.jar","hasPrototype":false,"id":8366,"isCheerpj":true,"learningGoals":"","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=lo","simPageUrl":"/lo/simulations/fourier","title":"ຟູເຍ້: ການເຮັດໃຫ້ຄື້ນຟອງ"},"mk":{"description":"Научете како да направите бранови на сите различни форми со додавање синус или косинус . Направете бранови во просторот и време и да се измери нивната бранова должина и периоди. Погледнете како промената на амплитудите на различни хармоници ќе го промени на брановите. Споредете различни математички изрази за вашите бранови.","downloadUrl":"/sims/fourier/fourier_mk.jar","hasPrototype":false,"id":4261,"isCheerpj":true,"learningGoals":"Објаснете како да додадете квалитативно синус и косинус да произведуваат периодични произволни функции. <br/> Забележете дека секоја компонента на Фурие одговара на синусоидален бран со различна бранова должина или период. <br/> Запамтете ги едноставните функциите меѓу Фуриев просторот и реалниот простор. <br/> Опишете звуците во однос на синусоидалните бранови. <br/> Опишете ја разликата меѓу бранови во простор и време во бранови. <br/> Забележете дека бранова должина и период не одговараат на специфичните точки на графикот, но укажуваат на должината / времето помеѓу две последователни падови, врвови, или било кои други соодветни точки. <br/> Станете фамилијарни со разновидни математички нотации за пишување Фурие трансформира, и поврзетеја математиката на интуитивен начин со слика на бранови форми. <br/> Определете кои аспекти на графиконот на бранот е опишан секој од симболите ламбда, Т, К, омега, и Н. <br/> Забележете дека ламбда & Т и к & омега се аналогни, но не и исти. <br/> Преведете ја равенката од збир нотација за проширена нотација. <br/> Забележете дека ширината на еден бран пакет во позиција простор е обратно поврзан со ширина на бранот пакет во Фурие простор. <br/> Објаснете како на Heisenberg принципот на несигурност резултаира од карактеристиките на брановите. <br/> Забележете дека растојанието помеѓу Фурие компоненти е обратнопропорционално поврзан со растојанието меѓу брановите пакети, и дека континуираната дистрибуција на Фуриеви компоненти доведува до еден бранов пакет.","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=mk","simPageUrl":"/mk/simulations/fourier","title":"ФУРИОВА СИНТЕЗА -ПРАВЕЊЕ НА БРАНОВИ"},"mn":{"downloadUrl":"/sims/fourier/fourier_mn.jar","hasPrototype":false,"id":9773,"isCheerpj":true,"learningGoals":"","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=mn","simPageUrl":"/mn/simulations/fourier","title":"Фурьей: Долгион хийх"},"nl":{"description":"Leer golven te maken van al de verschillende vormen door het optellen van sinussen of cosinussen. Maak golven in ruimte en tijd en meet hun golflengtes en perioden. Bekijk hoe het veranderen van de amplitudes van verschillende boventonen de golven veranderen. Vergelijk de verschillende mathematische uitdrukkingen voor je golven.","downloadUrl":"/sims/fourier/fourier_nl.jar","hasPrototype":false,"id":369,"isCheerpj":true,"learningGoals":"Leg kwalitatief uit hoe sinussen en cosinussen opgeteld worden om arbitraire periodische functies op te leveren.<br/>Toon aan dat elke Fourier component overeenkomst met een sinusgolf met een verschillende golflengte of periode.<br/>Zet eenvoudige functies om tussen de Fourier ruimte en de reële ruimte.<br/>Beschrijf geluiden in termen van sinusgolven. <br/>Beschrijf het verschil tussen golven in ruimte en golven in tijd.<br/>Begrijp dat golflengte en periode niet overeenkomen met bepaalde punten op de grafiek maar de lengte/tijd aanduidt tussen twee opeenvolgende dalen, toppen, of gelijk welk andere corresponderende punten.<br/>Wordt het gewoon te werken met verschillende wiskundige notaties voor het schrijven van Fourier transformaties, en verbindt de wiskunde met een intuïtief beeld van de golfvormen.<br/>Bepaal welk aspect van een grafiek van een golf beschreven wordt door elk van de symbolen lambda, T, k, omega, en n.<br/>Versta dat lambda; T en k; omega analoog zijn; maar niet hetzelfde.<br/>Vertaal een vergelijking van de som notatie naar de uitgebreide notatie.<br/>Versta dat de breedte van een golfpakket in de plaats ruimte omgekeerd evenredig is met de breedte van een golfpakket in de Fourier ruimte.<br/>Verklaar hoe het Heisenberg Onzekerheidsprincipe voortkomt uit de eigenschappen van golven.<br/>Versta dat de afstand tussen Fourier componenten omgekeerd evenredig is met de afstand tussen de golfpakketten, en dat een continue verdeling van Fourier componenten leidt tot een enkel golf pakket.","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=nl","simPageUrl":"/nl/simulations/fourier","title":"Boventonen"},"pl":{"description":"Dowiedz się, jak tworzyć fale o różnych kształtach, dodając sinusy lub cosinusy. Twórz fale w przestrzeni i czasie oraz mierz ich długości i okresy. Zobacz, jak zmiana amplitud różnych składowych harmonicznych zmienia fale. Porównaj różne wyrażenia matematyczne opisujące fale.","downloadUrl":"/sims/fourier/fourier_pl.jar","hasPrototype":false,"id":372,"isCheerpj":true,"learningGoals":"Wyjaśnij jakościowo, jak sinusy i cosinusy sumują się, tworząc dowolne funkcje okresowe.<br/>Zauważ, że każda składowa Fouriera odpowiada fali sinusoidalnej o innej długości fali lub okresie.<br/>Odwzoruj myślowo proste funkcje pomiędzy przestrzenią Fouriera a przestrzenią rzeczywistą.<br/>Opisuj dźwięki w kategoriach fal sinusoidalnych.<br/>Porównaj i skontrastuj fale w przestrzeni i fale w czasie.<br/>Rozpoznaj, że długość fali i okres nie odpowiadają konkretnym punktom na wykresie, ale wskazują długość/czas pomiędzy dwoma kolejnymi minimami, maksimami lub innymi odpowiadającymi (ta sama faza) sobie punktami.<br/>Zapoznaj się z różnymi notacjami matematycznymi do pisania transformat Fouriera i odnieś matematykę do intuicyjnego obrazu kształtów fal.<br/>Określ, który aspekt wykresu fali jest opisany każdym z symboli lambda, T, k, omega i n.<br/>Zauważ, że λ i T oraz k i ω to wielkości analogiczne, ale nie takie same.<br/>Przepisz równanie z zapisu sumarycznego na zapis rozszerzony.<br/>Dostrzeż, że szerokość pakietu falowego w przestrzeni położenia jest odwrotnie związana z szerokością pakietu falowego w przestrzeni Fouriera.<br/>Wyjaśnij, jak z własności fal wynika zasada nieoznaczoności Heisenberga.<br/>Rozpoznaj, że odstęp między składowymi Fouriera jest odwrotnie proporcjonalny do odstępu między paczkami falowymi oraz że ciągły rozkład składowych Fouriera prowadzi do pojedynczej paczki falowej.","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=pl","simPageUrl":"/pl/simulations/fourier","title":"Fourier: Konstruowanie fal"},"pt":{"downloadUrl":"/sims/fourier/fourier_pt.jar","hasPrototype":false,"id":365,"isCheerpj":true,"learningGoals":"","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=pt","simPageUrl":"/pt/simulations/fourier","title":"Séries de Fourier: Fazendo Ondas"},"pt_BR":{"description":"Aprenda a fazer ondas de todas as diferentes formas através da adição de senos ou co-senos. Faça ondas no espaço e no tempo e meça seus comprimentos de onda e períodos. Veja como alterar as amplitudes das diferentes variações harmônicas das ondas. Compare as diferentes expressões matemáticas para suas ondas.","downloadUrl":"/sims/fourier/fourier_pt_BR.jar","hasPrototype":false,"id":3123,"isCheerpj":true,"learningGoals":"Explicar qualitativamente como somar senos e cossenos para produzir funções periódicas arbitrário.<br/>Reconhecer que cada componente de Fourier corresponde a uma onda senoidal com um comprimento de onda ou período diferente.<br/>Mentalmente mapear funções simples entre o espaço de Fourier e o real espaço.<br/>Reconhecer sons em termos de ondas senoidais.<br/>Descrever a diferença entre as ondas no espaço e as ondas no tempo.<br/>Reconhecer que comprimento de onda e período não correspondem a pontos específicos do gráfico, mas que indicam a duração/tempo entre duas depressões consecutivas, cristas, ou quaisquer outros pontos correspondentes.<br/>Acostumar-se com várias notações matemáticas para escrever transformada de Fourier, e relacionar a matemática a uma imagem intuitiva de formas de onda.<br/>Determinar qual aspecto de um gráfico de uma onda é descrita por cada um dos símbolos lambda, T, k, omega, e n.<br/> Reconhecer que lambda & T e K & ômega são análogas, mas não o mesmo.<br/>Traduzir uma equação de notação de soma para a notação estendida. <br/>Reconhecer que a largura de um pacote de ondas posicionada no espaço é inversamente relacionada com a largura de um pacote de ondas no espaço de Fourier.<br/>Explicar como o princípio da Incerteza de Heisenberg resulta das propriedades das ondas.<br/>Reconhecer que o espaçamento entre as componentes de Fourier é inversamente proporcional ao espaçamento entre os pacotes de onda, e que uma distribuição contínua de componentes de Fourier leva a um pacote de onda único.","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=pt_BR","simPageUrl":"/pt_BR/simulations/fourier","title":"Fourier: Criando Ondas"},"sk":{"downloadUrl":"/sims/fourier/fourier_sk.jar","hasPrototype":false,"id":3186,"isCheerpj":true,"learningGoals":"","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=sk","simPageUrl":"/sk/simulations/fourier","title":"Fourier: tvorenie vĺn"},"sq":{"downloadUrl":"/sims/fourier/fourier_sq.jar","hasPrototype":false,"id":10840,"isCheerpj":true,"learningGoals":"","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=sq","simPageUrl":"/sq/simulations/fourier","title":"Analiza Furie: prodhimi i valëve"},"sr":{"downloadUrl":"/sims/fourier/fourier_sr.jar","hasPrototype":false,"id":1786,"isCheerpj":true,"learningGoals":"","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=sr","simPageUrl":"/sr/simulations/fourier","title":"ФУРИЈЕ-ОВА СИНТЕЗА -ПРАВЉЕЊЕ ТАЛАСА"},"tk":{"downloadUrl":"/sims/fourier/fourier_tk.jar","hasPrototype":false,"id":4451,"isCheerpj":true,"learningGoals":"","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=tk","simPageUrl":"/tk/simulations/fourier","title":"Furýe: tolkun ýasamak"},"tr":{"description":"Sinüs veya cosinüsleri ekleyerek farklı şekillerde dalga yapmayı öğrenin. Uzay ve zamanda dalgalar yapın, dalgaboylarını ve periyotlarını ölçün. Farklı harmoniklerin genliklerini değiştirmenin dalgayı nasıl değiştirdiğini gözleyin. Dalgalarınız için farklı matematiksel ifadeleri karşılaştırın.","downloadUrl":"/sims/fourier/fourier_tr.jar","hasPrototype":false,"id":6011,"isCheerpj":true,"learningGoals":"Sinüs ve kosinüslerin gelişigüzel periyodik fonksiyonlar üretmek için nasıl toplandığını niteliksel olarak açıklar.<br/>Her Fourier bileşeninin, farklı bir dalga boyu veya periyoda sahip bir sinüzoidal dalgaya karşılık geldiğinin farkına varır.<br/>Fourier uzayı ile gerçek uzay arasındaki basit fonksiyonları zihinsel olarak haritalayın. <br/>Sesleri sinüzoidal dalgalar cinsinden tanımlar.<br/>Uzaydaki dalgalar ile zamandaki dalgalar arasındaki farkı tanımlar.<br/>Dalga boyu ve periyodun grafikteki belirli noktalara karşılık gelmediğini, ancak birbirini izleyen iki çukur, tepe noktası veya karşılık gelen diğer noktalar arasındaki uzunluğu/süreyi gösterdiğini kabul eder.<br/>Fourier dönüşümlerini yazmak için çeşitli matematiksel gösterimler konusunda rahat olun ve matematiği dalga biçimlerinin sezgisel bir resmiyle ilişkilendirir.<br/>Bir dalga grafiğinin hangi yönünün lambda, T, k, omega ve n sembollerinin her biri tarafından tanımlandığını belirler.<br/>Lamda & T ve k & omega benzerdir ancak aynı değildir.<br/>Bir denklemi toplama gösteriminden genişletilmiş gösterime çevirir.<br/>Konum uzayındaki bir dalga paketinin genişliğinin, Fourier uzayındaki bir dalga paketinin genişliği ile ters orantılı olduğunun farkına varır.<br/>Heisenberg Belirsizlik ilkesinin dalgaların özelliklerinden nasıl sonuçlandığını açıklar.<br/>Fourier bileşenleri arasındaki aralığın dalga paketleri arasındaki boşlukla ters orantılı olduğunu ve fourier bileşenlerinin sürekli dağılımının tek bir dalga paketine yol açtığının farkına varır.","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=tr","simPageUrl":"/tr/simulations/fourier","title":"Fourier Serileri: Dalga Yapalım"},"vi":{"description":"Học cách tạo sóng có hình dạng khác nhau bằng cách cộng các hàm sines và cosines. Hãy tạo sóng trong không / thời gian rồi đo bước sóng và chu kỳ của chúng. Hãy quan sát các hoạ ba đã thay đổi sóng như thế nào. Hãy so sánh biểu thức toán học của các sóng đó.","downloadUrl":"/sims/fourier/fourier_vi.jar","hasPrototype":false,"id":1316,"isCheerpj":true,"learningGoals":"Giải thích, một cách định tính, cách cộng các hàm sin và cosin để tạo ra các hàm số tuần hoàn bất kỳ.<br/>Biết được: mỗi số hạng Fourier tương ứng với một sóng hình sin có chu kỳ và bước sóng khác nhau.<br/>Nhận biết mối liên hệ giữa không gian Fourier và không gian thực.<br/>Mô tả âm bằng sóng hình sin.<br/>Mô tả sự khác nhau giữa sóng trong không gian và trong thời gian.<br/>Nhận biết được: bước sóng và chu kỳ không tương ứng với các điểm đặc biệt trên đồ thị mà chỉ là khoảng cách/thời gian giữa hai đỉnh/hõm sóng liên tiếp hay hai điểm bất kỳ tương ứng.<br/>Quen thuộc với các ký hiệu toán học dùng trong các phép biến đổi Fourier và mối liên hệ giữa toán học và hình ảnh trực quan của sóng.<br/>Xác định được phần của đồ thị được biểu diễn bằng các ký hiệu lambda, T, k, omega, và n.<br/>Biết được: lambda & T và k & omega thì tương tự nhưng không giống hệt nhau.<br/>Chuyển đổi được từ dạng tổng sang dạng khai triển và ngược lại.<br/>Biết được: bề rộng của gói sóng trong không gian vị trí tỷ lệ nghịch với bề rộng gói sóng trong không gian Fourier.<br/>Giải thích được Nguyên lý bất định Heisenberg là kết quả của tính chất sóng.<br/>Biết được: khoảng cách giữa các thành phần Fourier tỷ lệ nghịch với khoảng cách giữa các gói sóng, và gói sóng đơn là kết quả của sự phân bố liên tục của các thành phần Fourier.","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=vi","simPageUrl":"/vi/simulations/fourier","title":"Tổng hợp sóng"},"zh_CN":{"description":"了解如何通过加正弦余弦产生所有不同形状的波。运用空间和时间波并测量它们的波长和周期。看看如何改变不同谐波的幅值从而改变波。比较不同的数学表达式如何呈现您所观察到的波。","downloadUrl":"/sims/fourier/fourier_zh_CN.jar","hasPrototype":false,"id":3022,"isCheerpj":true,"learningGoals":"定性分析如何正弦和余弦相加后产生任意周期功能。<br/>认清每个谐波分量对应于具有不同波长或者周期的正弦波。<br/>试着描绘傅立叶空间和现实空间之间的简单功能。<br/>描述正弦波方面的声音。<br/>描述波在时空中的差异。<br/>认识到波长和时间不对应于在图上的特定点，但表示两个连续的波谷、波峰、或任何其它的对应点之间的长度/时间。<br/>适应运用各种数学符号写傅立叶变换，并将波的各种形式直观图与数学关联起来。<br/>确定哪一个波的曲线图的一个方面是由这些λ，T，K，ω-和n的符号说明。<br/>认识到λ＆安培; T和K＆安培;欧米加类似，但不一样的。<br/>从翻译求和符号来扩展符号的方程。<br/>认识到在位置空间中的波的宽度与傅立叶空间中的波包的宽度成反比关系 。<br/>从波的属性解释海森堡不确定原理的产生。<br/>认识到谐波分量之间的间距与波之间的间隔是负相关，而谐波分量的连续分布导致单个波包。","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=zh_CN","simPageUrl":"/zh_CN/simulations/fourier","title":"傅里叶:生成波"},"zh_TW":{"description":"學著如何由正弦波或餘弦波之疊加來產生不同波形的波。在空間與時間尺度產生波，並測量它們的波長及週期？觀察改變諧波的振幅如何造成波的變化。並對你的波比較數學展開式的不同。<br/><br/>翻譯者：<br/>江易原，許伯任 (2010)","downloadUrl":"/sims/fourier/fourier_zh_TW.jar","hasPrototype":false,"id":371,"isCheerpj":true,"learningGoals":"","runUrl":"/sims/cheerpj/fourier/latest/fourier.html?simulation=fourier&locale=zh_TW","simPageUrl":"/zh_TW/simulations/fourier","title":"Fourier: Making Waves 傅力葉:與波共舞"}},"lowGradeLevel":2,"lreTerms":[],"name":"fourier","phetStudioPublicationTime":"","phetioVersion":"","prototypeTime":0,"relatedSimulations":[136],"scienceLiteracyMapKeys":["SMS-MAP-1364"],"secondaryAlignmentIds":[417,418,419,481,482,483,484,527,528,529,530,542,544,550,563,593,638,639,640,641,643,644],"subjects":[4,6,9,10,13,15,20,31],"topicIds":[260,271,272],"updateTime":1438027451558}],"type":0,"version":{"dev":0,"major":3,"minor":6,"revision":54130,"string":"3.6.0","timestamp":1310772566}}]}}
